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Finding the Fourth Proportional to 436.89, 655.36 and 112.26

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Solution

The fourth proportional to 436.89, 655.36 and 112.26 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.89 : 655.36 = 112.26 : x
  2. Step 2: Convert to fraction form
    436.89/655.36 = 112.26/x
  3. Step 3: Cross multiply
    436.89x = 655.36 × 112.26
  4. Step 4: Simplify right side
    436.89x = 73,570.71
  5. Step 5: Solve for x
    x = 73,570.71/436.89
  6. Step 6: Final answer
    x = 168.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.